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Simplifying 0.8x + -0.4(50 + x) = 0.16(50) 0.8x + (50 * -0.4 + x * -0.4) = 0.16(50) 0.8x + (-20 + -0.4x) = 0.16(50) Reorder the terms: -20 + 0.8x + -0.4x = 0.16(50) Combine like terms: 0.8x + -0.4x = 0.4x -20 + 0.4x = 0.16(50) Multiply 0.16 * 50 -20 + 0.4x = 8 Solving -20 + 0.4x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 0.4x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 0.4x = 8 + 20 0.4x = 8 + 20 Combine like terms: 8 + 20 = 28 0.4x = 28 Divide each side by '0.4'. x = 70 Simplifying x = 70
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